772117 has 4 divisors (see below), whose sum is σ = 797056. Its totient is φ = 747180.

The previous prime is 772097. The next prime is 772127. The reversal of 772117 is 711277.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 711277 = 7 ⋅101611.

It is a cyclic number.

It is not a de Polignac number, because 772117 - 2¹¹ = 770069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772091 and 772100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12423 + ... + 12484.

It is an arithmetic number, because the mean of its divisors is an integer number (199264).

2⁷⁷²¹¹⁷ is an apocalyptic number.

It is an amenable number.

772117 is a deficient number, since it is larger than the sum of its proper divisors (24939).

772117 is a wasteful number, since it uses less digits than its factorization.

772117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24938.

The product of its digits is 686, while the sum is 25.

The square root of 772117 is about 878.7018834622. The cubic root of 772117 is about 91.7404863585.

The spelling of 772117 in words is "seven hundred seventy-two thousand, one hundred seventeen", and thus it is an iban number.